GCD of 784, 749, 801, 201 Calculator

Given Input numbers are 784, 749, 801, 201

In the factoring method, we have to find the divisors of all numbers

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

GCD of numbers is the greatest common divisor

So, the GCD (784, 749, 801, 201) = 1.

Given numbers are 784, 749, 801, 201

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 749 are 7 x 107

Prime factors of 801 are 3 x 3 x 89

Prime factors of 201 are 3 x 67

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 784, 749, 801, 201

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(784, 749) = 83888

GCD(784, 749) = ( 784 x 749 ) / 83888

= 784 / 749

= 784

Step2:

LCM(7, 801) = 5607

GCD(7, 801) = ( 7 x 801 ) / 5607

= 7 / 801

= 7

Step3:

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

= 1 / 201

= 1

So, Greatest Common Divisor of 784, 749, 801, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 814, 760, 465
• GCD of 824, 904, 915, 154
• GCD of 675, 867, 765, 499
• GCD of 130, 401, 398, 826
• GCD of 101, 408, 855, 843

Given numbers are 784, 749, 801, 201
The greatest common divisor of numbers 784, 749, 801, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 749, 801, 201 is 1.

1. What is the GCD of 784, 749, 801, 201?

GCD of given numbers 784, 749, 801, 201 is 1

2. How to calculate the greatest common divisor of 784, 749, 801, 201?

We can find the highest common divisor of 784, 749, 801, 201 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 784, 749, 801, 201 i.e 1.

3. How can I use the GCD of 784, 749, 801, 201Calculator?

Out the numbers 784, 749, 801, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.